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5284999776 = 253725131333
BaseRepresentation
bin1001110110000001…
…01011001001100000
3111122022122210202110
410323000223021200
541310424443101
62232231515320
7244652520420
oct47300531140
914568583673
105284999776
112272276611
121035b28b40
13662c06c04
14381c8c480
1520dea0cd6
hex13b02b260

5284999776 has 96 divisors (see below), whose sum is σ = 15918674688. Its totient is φ = 1503936000.

The previous prime is 5284999751. The next prime is 5284999799. The reversal of 5284999776 is 6779994825.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153006 + ... + 184338.

It is an arithmetic number, because the mean of its divisors is an integer number (165819528).

Almost surely, 25284999776 is an apocalyptic number.

5284999776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5284999776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7959337344).

5284999776 is an abundant number, since it is smaller than the sum of its proper divisors (10633674912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5284999776 is a wasteful number, since it uses less digits than its factorization.

5284999776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31604 (or 31596 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 66.

The square root of 5284999776 is about 72698.0039340834. The cubic root of 5284999776 is about 1741.8669985274.

The spelling of 5284999776 in words is "five billion, two hundred eighty-four million, nine hundred ninety-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 251 336 502 672 753 1004 1506 1757 2008 3012 3514 4016 5271 6024 7028 8032 10542 12048 14056 21084 24096 28112 31333 42168 56224 62666 84336 93999 125332 168672 187998 219331 250664 375996 438662 501328 657993 751992 877324 1002656 1315986 1503984 1754648 2631972 3007968 3509296 5263944 7018592 7864583 10527888 15729166 21055776 23593749 31458332 47187498 55052081 62916664 94374996 110104162 125833328 165156243 188749992 220208324 251666656 330312486 377499984 440416648 660624972 754999968 880833296 1321249944 1761666592 2642499888 5284999776